Abstract: A parallel-kinematical machine includes at least three length adjusting setting devices that are connected to a positioning head and a base. The positioning head is movable in response to manuvering of the setting devices. At least movable two reinforcing beams are connected to the positioning head via beam rotation bearings having one degree of freedom, and are adapted to slide transversely in the beam bearings with adjustments of the setting devices. Each beam bearing is connected to the base via a beam-universal-joint. The beam bearing of at least one movable reinforcing beam is connected to an inner gyro element mounted in an outer gyro element, and rotatable about inner and outer gyro axes of the inner and outer gyro elements, so as to be partly rotatable about an axis that parallels the longitudinal axis of the movable reinforcing beam.